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1350900 = 2232521979
BaseRepresentation
bin101001001110011110100
32112122002100
411021303310
5321212100
644542100
714324325
oct5116364
92478070
101350900
11842a51
12551930
13383b65
1427244c
151ba400
hex149cf4

1350900 has 108 divisors (see below), whose sum is σ = 4513600. Its totient is φ = 336960.

The previous prime is 1350893. The next prime is 1350911. The reversal of 1350900 is 90531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17061 + ... + 17139.

21350900 is an apocalyptic number.

1350900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256800).

1350900 is an abundant number, since it is smaller than the sum of its proper divisors (3162700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1350900 is a wasteful number, since it uses less digits than its factorization.

1350900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1350900 is about 1162.2822376686. The cubic root of 1350900 is about 110.5454997134.

The spelling of 1350900 in words is "one million, three hundred fifty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 79 90 95 100 114 150 158 171 180 190 225 228 237 285 300 316 342 380 395 450 474 475 570 684 711 790 855 900 948 950 1140 1185 1422 1425 1501 1580 1710 1900 1975 2370 2844 2850 3002 3420 3555 3950 4275 4503 4740 5700 5925 6004 7110 7505 7900 8550 9006 11850 13509 14220 15010 17100 17775 18012 22515 23700 27018 30020 35550 37525 45030 54036 67545 71100 75050 90060 112575 135090 150100 225150 270180 337725 450300 675450 1350900